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Optimal Research and Numerical Simulation for Scheduling No‐Wait Flow Shop in Steel Production

Author

Listed:
  • Huawei Yuan
  • Yuanwei Jing
  • Jinping Huang
  • Tao Ren

Abstract

This paper considers the m‐machine flow shop scheduling problem with the no‐wait constraint to minimize total completion time which is the typical model in steel production. First, the asymptotic optimality of the Shortest Processing Time (SPT) first rule is proven for this problem. To further evaluate the performance of the algorithm, a new lower bound with performance guarantee is designed. At the end of the paper, numerical simulations show the effectiveness of the proposed algorithm and lower bound.

Suggested Citation

  • Huawei Yuan & Yuanwei Jing & Jinping Huang & Tao Ren, 2013. "Optimal Research and Numerical Simulation for Scheduling No‐Wait Flow Shop in Steel Production," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:498282
    DOI: 10.1155/2013/498282
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    References listed on IDEAS

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    1. Nicholas G. Hall & Chelliah Sriskandarajah, 1996. "A Survey of Machine Scheduling Problems with Blocking and No-Wait in Process," Operations Research, INFORMS, vol. 44(3), pages 510-525, June.
    2. A Allahverdi & T Aldowaisan, 2001. "Minimizing total completion time in a no-wait flowshop with sequence-dependent additive changeover times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(4), pages 449-462, April.
    3. Y N Sotskov & A Allahverdi & T-C Lai, 2004. "Flowshop scheduling problem to minimize total completion time with random and bounded processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(3), pages 277-286, March.
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